A Low Power Hybrid Bit-Adaptive Approximate Multiplier with LOD Guided Approximation and Fault Tolerant Adders for Image Processing Applications

International Journal of Electronics and Communication Engineering
© 2026 by SSRG - IJECE Journal
Volume 13 Issue 3
Year of Publication : 2026
Authors : Lokhanadam Vara Prasad, K. Venkata Ramanaiah
pdf
How to Cite?

Lokhanadam Vara Prasad, K. Venkata Ramanaiah, "A Low Power Hybrid Bit-Adaptive Approximate Multiplier with LOD Guided Approximation and Fault Tolerant Adders for Image Processing Applications," SSRG International Journal of Electronics and Communication Engineering, vol. 13,  no. 3, pp. 84-98, 2026. Crossref, https://doi.org/10.14445/23488549/IJECE-V13I3P107

Abstract:

Energy-constrained digital signals, image-processing platforms, and machine-vision systems rely heavily on multipliers owing to their crucial role in managing power, area, and computation speed. Traditional high-precision multipliers suffer from heavy latency and power consumption caused by complex partial product generation and carry propagation paths, which are unsuitable for low-power real-time operation. To overcome these drawbacks, this paper proposes a Hybrid Bit Adaptive Approximate Multiplier (HBAM), which adaptively varies its computing precision according to the prominent value inside the inputs by adopting an effective Leading-One Detection (LOD) scheme, a fault-tolerant adaptive adder. The architecture minimizes unnecessary switching activity and redundant computation by bit-adaptive truncation involving partial protection of high-order bits, and selects a set of high-precision significant bits for accuracy. The implementation results demonstrate that the proposed HBAM achieves substantial improvements over state-of-the-art approximate multipliers. For 8 bit designs, HBAM achieved the lowest area (610 µm²), lowest power (0.59 mW), and fastest delay (0.91 ns). The 16-bit solution also reports about 2,080 um (2) area, 1.68 mW power, and 1.59 ns delay over competing structures such as TOSAM, PPC, AMA-x, and LOA by a factor of even orders of magnitude. Application-level evaluation on standard benchmark images also demonstrates that the proposed HBAM yields better smoothing and edge detection quality, with a PSNR up to 40.00 dB and SSIM of 0.995 for smoothing and a PSNR up to 33.50 dB/ SSIM of 0.940 for edge detection, respectively, all at low arithmetic error (MSE of down to 6.50). These results show that the proposed HBAM architecture provides an excellent tradeoff between low power consumption, high performance, and high image quality and is highly suited for next-generation low-power image processing and embedded vision systems.

Keywords:

Approximate Computing, Hybrid Bit-Adaptive Multiplier (HBAM) and Leading-One Detection (LOD), Image Processing, Edge Detection and Smoothing Filters; Energy-Efficient Multiplier Architecture.

References:

[1] Ladan Sayadi et al., “Balancing Precision and Efficiency: An Approximate Multiplier with Built-in Error Compensation for Error-Resilient Applications,” The Journal of Supercomputing, vol. 81, 2025.
[CrossRef] [Google Scholar] [Publisher Link]
[2] Venkata Sudhakar Chowdam, M. Venkata Naresh, and Ganjikunta Ganesh Kumar, “Energy-Efficient 8-Bit Approximate Multipliers Design and Analysis for Error-Resilient Applications,” Circuits, Systems, and Signal Processing, 2025.
[CrossRef] [Google Scholar] [Publisher Link]
[3] Parthibaraj Anguraj, and Thiruvenkadam Krishnan, “Design and Realization of Area-efficient Approximate Multiplier Structures for Image Processing Applications,” Microprocessors and Microsystems, vol. 102, 2023.
[CrossRef] [Google Scholar] [Publisher Link]
[4] Sahith Guturu et al., “Design Methodology for Highly Accurate Approximate Multipliers for Error Resilient Applications,” Computers and Electrical Engineering, vol. 110, pp. 1-8, 2023.
[CrossRef] [Google Scholar] [Publisher Link]
[5] Shravani Chandaka, and Balaji Narayanam, “Hardware Efficient Approximate Multiplier Architecture for Image Processing Applications,” Journal of Electronic Testing, vol. 38, pp. 217-230, 2022.
[CrossRef] [Google Scholar] [Publisher Link]
[6] Elham Esmaeili, and Nabiollah Shiri, “An Efficient Approximate Multiplier with Encoded Partial Products and Inexact Counter for Joint Photographic Experts Group Compression,” IET Circuits, Devices & Systems, vol. 2024, pp. 1-16, 2024.
[CrossRef] [Google Scholar] [Publisher Link]
[7] Samad Shirzadeh, and Behjat Forouzandeh, “High Accurate Multipliers using New Set of Approximate Compressors,” AEU - International Journal of Electronics and Communications, vol. 138, 2021.
[CrossRef] [Google Scholar] [Publisher Link]
[8] M. Ramkumar Raja et al., “Energy Efficient Enhanced all Pass Transformation Fostered Variable Digital Filter Design based on Approximate Adder and Approximate Multiplier for Eradicating Sensor Nodes Noise,” Analog Integrated Circuits and Signal Processing, vol. 118, pp. 399-413, 2024.
[CrossRef] [Google Scholar] [Publisher Link]
[9] S. Harichandra Prasad, and K. Kumar, “Performance Analysis of Low Power Inexact Recursive Multipliers for Image Processing Applications,” Circuits, Systems, and Signal Processing, vol. 45, pp. 621-646, 2025.
[CrossRef] [Google Scholar] [Publisher Link]
[10] Mahdi Taheri et al., “AdAM: Adaptive Approximate Multiplier for Fault Tolerance in DNN Accelerators,” IEEE Transactions on Device and Materials Reliability, vol. 25, no. 1, pp. 66-75, 2025.
[CrossRef] [Google Scholar] [Publisher Link]
[11] Yogeswari Palanisamy et al., “Power-efficient MAC Unit for Image Processing using Dadda Multiplier and Approximate Adder,” Australian Journal of Electrical and Electronics Engineering, pp. 1-13, 2025.
[CrossRef] [Google Scholar] [Publisher Link]
[12] Ayoub Sadeghi et al., “Energy Efficient Compact Approximate Multiplier for Error-Resilient Applications,” IEEE Transactions on Circuits and Systems II: Express Briefs, vol. 71, no. 12, pp. 4989-4993, 2024.
[CrossRef] [Google Scholar] [Publisher Link]
[13] Bo Liu et al., “Timing Error Tolerant CNN Accelerator With Layerwise Approximate Multiplication,” IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems, vol. 43, no. 12, pp. 4412-4425, 2024.
[CrossRef] [Google Scholar] [Publisher Link]
[14] Lalit Bandil, and Bal Chand Nagar, “SIEAA: Significant Input Extraction-based Error Optimized Approximate Adder for Error Resilient Application,” Integration, vol. 101, 2025.
[CrossRef] [Google Scholar] [Publisher Link]
[15] Vidya Sagar Potharaju, and V. Saminadan, “Design and Analysis of Low Power Reversible Majority Logic-Based Adder/Subtractor Circuits with Parallel Computing Optimization,” SN Computer Science, vol. 6, 2025.
[CrossRef] [Google Scholar] [Publisher Link]
[16] Maryam Banisharif Dehkordi, and HamidReza Ahmadifar, “A New Approximate (8; 2) Compressor for Image Processing Applications,” IETE Journal of Research, vol. 70, no. 2, pp. 1352-1360, 2024.
[CrossRef] [Google Scholar] [Publisher Link]
[17] Edris Zaman Farsa, Arash Ahmadi, and Oliver Keszocze, “Reconfigurable Digital FPGA Implementations for Neuromorphic Computing: A Survey on Recent Advances and Future Directions,” IEEE Transactions on Emerging Topics in Computational Intelligence, vol. 9, no. 5, pp. 3210-3232, 2025.
[CrossRef] [Google Scholar] [Publisher Link]
[18] Mohsen Nourazar et al., “Code Acceleration Using Memristor-Based Approximate Matrix Multiplier: Application to Convolutional Neural Networks,” IEEE Transactions on Very Large Scale Integration (VLSI) Systems, vol. 26, no. 12, pp. 2684-2695, 2018.
[CrossRef] [Google Scholar] [Publisher Link]
[19] Shaghayegh Vahdat et al., “TOSAM: An Energy-Efficient Truncation- and Rounding-Based Scalable Approximate Multiplier,” IEEE Transactions on Very Large Scale Integration (VLSI) Systems, vol. 27, no. 5, pp. 1161-1173, 2019.
[CrossRef] [Google Scholar] [Publisher Link]
[20] Ladan Sayadi, Somayeh Timarchi, and Akbar Sheikh-Akbari, “Two Efficient Approximate Unsigned Multipliers by Developing New Configuration for Approximate 4:2 Compressors,” IEEE Transactions on Circuits and Systems I: Regular, Papers, vol. 70, no. 4, pp. 1649 1659, 2023.
[CrossRef] [Google Scholar] [Publisher Link]
[21] Muhammad Hamis Haider, and Seok-Bum Ko, “Booth Encoding-Based Energy Efficient Multipliers for Deep Learning Systems,” IEEE Transactions on Circuits and Systems II: Express Briefs, vol. 70, no. 6, pp. 2241-2245, 2023.
[CrossRef] [Google Scholar] [Publisher Link]
[22] Dimitrios Danopoulos et al., “AdaPT: Fast Emulation of Approximate DNN Accelerators in PyTorch,” IEEE Transactions on Computer Aided Design of Integrated Circuits and Systems, vol. 42, no. 6, pp. 2074-2078, 2023.
[CrossRef] [Google Scholar] [Publisher Link]
[23] Annachiara Ruospo et al., “Investigating Data Representation for Efficient and Reliable Convolutional Neural Networks,” Microprocessors and Microsystems, vol. 86, pp. 1-42, 2021.
[CrossRef] [Google Scholar] [Publisher Link]
[24] U. Anil Kumar et al., “CAAM: Compressor-Based Adaptive Approximate Multiplier for Neural Network Applications,” IEEE Embedded Systems Letters, vol. 15, no. 3, pp. 117-120, 2023.
[CrossRef] [Google Scholar] [Publisher Link]
[25] Zhen Li et al., “Adaptable Approximate Multiplier Design Based on Input Distribution and Polarity,” IEEE Transactions on Very Large Scale Integration (VLSI) Systems, vol. 30, no. 12, pp. 1813-1826, 2022.
[CrossRef] [Google Scholar] [Publisher Link]
[26] Botang Shao, and Peng Li, “Array-Based Approximate Arithmetic Computing: A General Model and Applications to Multiplier and Squarer Design,” IEEE Transactions on Circuits and Systems I: Regular Papers, vol. 62, no. 4, pp. 1081-1090, 2015.
[CrossRef] [Google Scholar] [Publisher Link]
[27] Faraz Baraati et al., “Efficient and High Accuracy Approximate Multiplier Design Approach for AI Application,” Circuits, Systems, and Signal Processing, vol. 44, pp. 8635-8656, 2025.
[CrossRef] [Google Scholar] [Publisher Link]
[28] Suganthi Venkatachalam et al., “Design and Analysis of Area and Power Efficient Approximate Booth Multipliers,” IEEE Transactions on Computers, vol. 68, no. 11, pp. 1697-1703, 2019.
[CrossRef] [Google Scholar] [Publisher Link]
[29] Mohammad Saeed Ansari et al., “Low-Power Approximate Multipliers Using Encoded Partial Products and Approximate Compressors,” IEEE Journal on Emerging and Selected Topics in Circuits and Systems, vol. 8, no. 3, pp. 404-416, 2018.
[CrossRef] [Google Scholar] [Publisher Link]
[30] L. Hemanth Krishna et al., “Energy-Efficient Approximate Multiplier Design with Lesser Error Rate Using the Probability-Based Approximate 4:2 Compressor,” IEEE Embedded Systems Letters, vol. 16, no. 2, pp. 134-137, 2024.
[CrossRef] [Google Scholar] [Publisher Link]
[31] Seyed Amir Hossein Ejtahed, and Somayeh Timarchi, “Efficient Approximate Multiplier Based on a New 1-Gate Approximate Compressor,” Circuits, Systems, and Signal Processing, vol. 41, pp. 2699-2718, 2022.
[CrossRef] [Google Scholar] [Publisher Link]
[32] Ahmad Towhidy, Reza Omidi, and Karim Mohammadi, “On the Design of Iterative Approximate Floating-Point Multipliers,” IEEE Transactions on Computers, vol. 72, no. 6, pp. 1623-1635, 2023.
[CrossRef] [Google Scholar] [Publisher Link]
[33] Garima Thakur, Harsh Sohal, and Shruti Jain, “Power–Area-Optimized Approximate Multiplier Design for Image Fusion,” Circuits, Systems, and Signal Processing, vol. 43, pp. 2288-2319, 2024.
[CrossRef] [Google Scholar] [Publisher Link]
[34] Yajuan He et al., “A Probabilistic Prediction-Based Fixed-Width Booth Multiplier for Approximate Computing,” IEEE Transactions on Circuits and Systems I: Regular Papers, vol. 67, no. 12, pp. 4794-4803, 2020.
[CrossRef] [Google Scholar] [Publisher Link]
[35] Sukanya Balasubramani, Uma Jagadeeshan, and Umapathi Krishnamoorthy, “Performance Optimized Approximate Multiplier Architecture ST-AxM - based on Statistical Analysis and Static Compensation,” Microelectronics Reliability, vol. 151, 2023.
[CrossRef] [Google Scholar] [Publisher Link]
[36] Ying Wu et al., “LMM: A Fixed-Point Linear Mapping Based Approximate Multiplier for IoT,” Journal of Computer Science and Technology, vol. 38, pp. 298-308, 2023.
[CrossRef] [Google Scholar] [Publisher Link]
[37] P. Shareefa Fairoose, and Ashutosh Mishra, “An Efficient Architecture of Truncated Booth Multiplier for AI Application,” Integration, vol. 106, 2026.
[CrossRef] [Google Scholar] [Publisher Link]
[38] Celia Dharmaraj, Vinita Vasudevan, and Nitin Chandrachoodan, “Analysis of Power–accuracy Trade-off in Digital Signal Processing Applications using Low-power Approximate Adders,” IET Computers & Digital Techniques, vol. 15, no. 2, pp. 97-111, 2021.
[CrossRef] [Google Scholar] [Publisher Link]
[39] Bahram Rashidi, “Efficient and Low-cost Approximate Multipliers for Image Processing Applications,” Integration, vol. 94, 2024.
[CrossRef] [Google Scholar] [Publisher Link]
[40] Shyama Gandhi et al., “Approximate Leading One Detector Design for a Hardware-Efficient Mitchell Multiplier,” 2019 IEEE Canadian Conference of Electrical and Computer Engineering (CCECE), Edmonton, AB, Canada, pp. 1-4, 2019.
[CrossRef] [Google Scholar] [Publisher Link]